357
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Number
$357$ (three hundred and fifty-seven) is:
- $3 \times 7 \times 17$
- The $16$th integer $n$ after $1$, $3$, $15$, $30$, $35$, $56$, $70$, $78$, $105$, $140$, $168$, $190$, $210$, $248$, $264$ with the property that $\map {\sigma_0} n \divides \map \phi n \divides \map {\sigma_1} n$:
- $\map {\sigma_0} {357} = 8$, $\map \phi {357} = 192$, $\map {\sigma_1} {357} = 576$
- The $20$th number after $1$, $3$, $22$, $66$, $70$, $81$, $94$, $115$, $119$, $170$, $210$, $214$, $217$, $265$, $282$, $310$, $322$, $343$, $345$ whose divisor sum is square:
-
- $\map {\sigma_1} {357} = 576 = 24^2$
- The $38$th sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $290$, $310$, $318$, $322$, $345$, $354$:
- $357 = 3 \times 7 \times 17$
Arithmetic Functions on $357$
\(\ds \map {\sigma_0} { 357 }\) | \(=\) | \(\ds 8\) | $\sigma_0$ of $357$ | |||||||||||
\(\ds \map \phi { 357 }\) | \(=\) | \(\ds 192\) | $\phi$ of $357$ | |||||||||||
\(\ds \map {\sigma_1} { 357 }\) | \(=\) | \(\ds 576\) | $\sigma_1$ of $357$ |